Global existence for some 4-D quasilinear wave equations with low regularity

DOI10.1007/S10114-017-7138-7zbMath1392.35195arXiv1709.00967OpenAlexW2962947948MaRDI QIDQ1741943

Meng Yun Liu, Chuanfang Wang

Publication date: 11 April 2018

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00967

zbMATH Keywords

trace estimateslocal energy estimatessmall and radial data

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Hyperbolic equations on manifolds (58J45) Second-order quasilinear hyperbolic equations (35L72)

Related Items (4)

Global solutions to systems of quasilinear wave equations with low regularity data and applications ⋮ Space-time \(L^{2}\) estimates, regularity and almost global existence for elastic waves ⋮ On nonlinear elastic waves in 2-D ⋮ Global existence of the two-dimensional axisymmetric Euler equations for the Chaplygin gas with large angular velocities

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